101002122200200 has 192 divisors, whose sum is σ = 272401715174400. Its totient is φ = 34520953420800.

The previous prime is 101002122200197. The next prime is 101002122200209. The reversal of 101002122200200 is 2002221200101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (101002122200209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25388115 + ... + 29095714.

It is an arithmetic number, because the mean of its divisors is an integer number (1418758933200).

Almost surely, 2^{101002122200200} is an apocalyptic number.

101002122200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002122200200 is an abundant number, since it is smaller than the sum of its proper divisors (171399592974200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101002122200200 is a wasteful number, since it uses less digits than its factorization.

101002122200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54483912 (or 54483903 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101002122200200 its reverse (2002221200101), we get a palindrome (103004343400301).

The spelling of 101002122200200 in words is "one hundred one trillion, two billion, one hundred twenty-two million, two hundred thousand, two hundred".